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"a web of data that can be processed directly and indirectly by
machines."

Semantic Web is a system to let machines understands human data.

Tim Berners-Lee originally expressed the vision of the semantic web as follows:

"I have a dream for the Web [in which computers] become capable of
analyzing all the data on the Web – the content, links, and
transactions between people and computers. A ‘Semantic Web’, which
should make this possible, has yet to emerge, but when it does, the
day-to-day mechanisms of trade, bureaucracy and our daily lives will
be handled by machines talking to machines. The ‘intelligent agents’
people have touted for ages will finally materialize."

In order to do this, Semantic Web relies on languages specifically designed to store arbitrary data, such as RDF, OWL and XML.